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Finding the Fourth Proportional to 2,931.58, 4,397.37 and 2,472.31

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Solution

The fourth proportional to 2,931.58, 4,397.37 and 2,472.31 is: 3,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.58 : 4,397.37 = 2,472.31 : x
  2. Step 2: Convert to fraction form
    2,931.58/4,397.37 = 2,472.31/x
  3. Step 3: Cross multiply
    2,931.58x = 4,397.37 × 2,472.31
  4. Step 4: Simplify right side
    2,931.58x = 10,871,661.82
  5. Step 5: Solve for x
    x = 10,871,661.82/2,931.58
  6. Step 6: Final answer
    x = 3,708.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.